Hardy space H[1] associated to Schrödinger operator with potential satisfying reverse Hölder inequality

Autores: Jacek Dziubanski , Jacek Zienkiewicz
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 15, Nº 2, 1999, págs. 279-296
Idioma: inglés
DOI: 10.4171/rmi/257
Títulos paralelos:
- Espacio de Hardy H1 asociado al operador de Schrödinger con potencial satisfaciendo la desigualdad de Hölder inversa.
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Resumen
- Let {Tt}t>0 be the semigroup of linear operators generated by a Schrödinger operator -A = ? - V, where V is a nonnegative potential that belongs to a certain reverse Hölder class. We define a Hardy space HA1 by means of a maximal function associated with the semigroup {Tt}t>0. Atomic and Riesz transforms characterizations of HA1 are shown.